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On the foundations of statistics and decision theory.

José M. Bernardo, Javier Girón (1983)

Trabajos de Estadística e Investigación Operativa

An elementary axiomatic foundation for decision theory is presented at a general enough level to cover standard applications of Bayesian methods. The intuitive meaning of both axioms and results is stressed. It is argued that statistical inference is a particular decision problem to which the axiomatic argument fully applies.

Problemas tipo en teoría de la decisión.

Ramón Alonso Sanz (1997)

Qüestiió

El objetivo de este artículo es ilustrar las técnicas y los conceptos básicos de la Teoría de la Decisión. Para lograr este objetivo se ha adoptado el problema tipo quizá más sencillo: el problema de la inversión. Este queda caracterizado por dos decisiones alternativas (invertir o no invertir) y dos estados de la naturaleza (apreciación y depreciación). La información adicional adopta la forma de opinión de un experto. El problema se ha resuelto en forma extensa y normal. Las consecuencias se suponen...

Towards a notion of testability

Czesław Stępniak (1992)

Applications of Mathematics

The problem of testability has been undertaken many times in the context of linear hypotheses. Almost all these considerations restricted to some algebraical conditions without reaching the nature of the problem. Therefore, a general and commonly acceptable notion of testability is still wanted. Our notion is based on a simple and natural decision theoretic requirement and is characterized in terms of the families of distributions corresponding to the null and the alternative hypothesis. Its consequences...

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